Some Characterizations and Properties of a New Partial Order
On the basis of Löwner partial order and core partial order, we introduce a new partial order: LC partial order. By applying matrix decomposition, core inverse, core partial order, and Löwner partial order, we give some characteristics of LC partial order, study the relationship between LC partial o...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/3215038 |
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doaj-e15d2b20a1af48218da3525ab22f59942020-11-25T02:52:20ZengHindawi LimitedJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/32150383215038Some Characterizations and Properties of a New Partial OrderXiaoji Liu0Fang Gui1School of Mathematics and Physics, Guangxi University for Nationalities, Nanning 530006, ChinaSchool of Mathematics and Physics, Guangxi University for Nationalities, Nanning 530006, ChinaOn the basis of Löwner partial order and core partial order, we introduce a new partial order: LC partial order. By applying matrix decomposition, core inverse, core partial order, and Löwner partial order, we give some characteristics of LC partial order, study the relationship between LC partial order and Löwner partial order under constraint conditions, and illustrate its differences with some classical partial orders, such as minus, CL, and GL partial orders.http://dx.doi.org/10.1155/2020/3215038 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Xiaoji Liu Fang Gui |
| spellingShingle |
Xiaoji Liu Fang Gui Some Characterizations and Properties of a New Partial Order Journal of Mathematics |
| author_facet |
Xiaoji Liu Fang Gui |
| author_sort |
Xiaoji Liu |
| title |
Some Characterizations and Properties of a New Partial Order |
| title_short |
Some Characterizations and Properties of a New Partial Order |
| title_full |
Some Characterizations and Properties of a New Partial Order |
| title_fullStr |
Some Characterizations and Properties of a New Partial Order |
| title_full_unstemmed |
Some Characterizations and Properties of a New Partial Order |
| title_sort |
some characterizations and properties of a new partial order |
| publisher |
Hindawi Limited |
| series |
Journal of Mathematics |
| issn |
2314-4629 2314-4785 |
| publishDate |
2020-01-01 |
| description |
On the basis of Löwner partial order and core partial order, we introduce a new partial order: LC partial order. By applying matrix decomposition, core inverse, core partial order, and Löwner partial order, we give some characteristics of LC partial order, study the relationship between LC partial order and Löwner partial order under constraint conditions, and illustrate its differences with some classical partial orders, such as minus, CL, and GL partial orders. |
| url |
http://dx.doi.org/10.1155/2020/3215038 |
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AT xiaojiliu somecharacterizationsandpropertiesofanewpartialorder AT fanggui somecharacterizationsandpropertiesofanewpartialorder |
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